Kitaev's Lattice Model and Turaev-Viro TQFTs
Quantum Algebra
2012-06-12 v1 Geometric Topology
Abstract
In this paper, we examine Kitaev's lattice model for an arbitrary complex, semisimple Hopf algebra. We prove that this model gives the same topological invariants as Turaev-Viro theory. Using the description of Turaev-Viro theory as an extended TQFT, we prove that the excited states of the Kitaev model correspond to Turaev-Viro theory on a surface with boundary.
Keywords
Cite
@article{arxiv.1206.2308,
title = {Kitaev's Lattice Model and Turaev-Viro TQFTs},
author = {Benjamin Balsam and Alexander Kirillov},
journal= {arXiv preprint arXiv:1206.2308},
year = {2012}
}
Comments
LaTex2e with TikZ pictures; 29 pages